On weak solutions to a generalized Camassa-Holm equation with solitary wave

DOI10.1186/s13661-020-01326-3zbMath1486.35129OpenAlexW3029931174WikidataQ126304479 ScholiaQ126304479MaRDI QIDQ2126539

Yunxi Guo

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01326-3

zbMATH Keywords

generalized Camassa-Holm equationintegrable quasilinear scalar evolution equation

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30)

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Cites Work

• Unnamed Item
• An integrable equation with nonsmooth solitons
• On the well-posedness of the Degasperis-Procesi equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Well-posedness and global existence for a generalized Degasperis-Procesi equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Global existence for a new periodic integrable equation.
• On the Cauchy problem for an integrable equation with peakon solutions
• Special issue on the occasion of the 50th volume
• Global weak solutions for a shallow water equation
• Traveling wave solutions of the Degasperis-Procesi equation
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• Wave-breaking and peakons for a modified Camassa-Holm equation
• Periodic solutions of the Degasperis-Procesi equation: well-posedness and asymptotics
• Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation
• Wellposedness for a parabolic-elliptic system
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• Generalizations of the Camassa–Holm equation
• A shallow water equation on the circle
• An integrable shallow water equation with peaked solitons
• Global solutions to a new integrable equation with peakons
• Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit
• Analysis on the blow-up of solutions to a class of integrable peakon equations